EXHAUSTION OF THE CURVE GRAPH VIA RIGID EXPANSIONS
2018 ◽
Vol 61
(1)
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pp. 195-230
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Keyword(s):
AbstractFor an orientable surfaceSof finite topological type with genusg≥ 3, we construct a finite set of curves whose union of iterated rigid expansions is the curve graph$\mathcal{C}$(S). The set constructed, and the method of rigid expansion, are closely related to Aramayona and Leiniger's finite rigid set in Aramayona and Leininger,J. Topology Anal.5(2) (2013), 183–203 and Aramayona and Leininger,Pac. J. Math.282(2) (2016), 257–283, and in fact a consequence of our proof is that Aramayona and Leininger's set also exhausts the curve graph via rigid expansions.
2013 ◽
Vol 05
(02)
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pp. 183-203
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2009 ◽
Vol 145
(2)
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pp. 528-540
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1972 ◽
Vol 71
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pp. 437-448
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Keyword(s):
2008 ◽
Vol 346
(11-12)
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pp. 653-656
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1969 ◽
Vol 65
(2)
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pp. 409-430
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2010 ◽
Vol DMTCS Proceedings vol. AN,...
(Proceedings)
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2004 ◽
Vol 25
(1)
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pp. 1-9
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2018 ◽
Vol 2020
(21)
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pp. 7857-7872